Charged shells in a (2+1)-dimensional spacetime
Ernesto F. Eiroa, Claudio Simeone

TL;DR
This paper investigates the stability of circular shells in a (2+1)-dimensional Einstein-Born-Infeld setting, analyzing configurations around black holes and vacuum, and identifying parameter ranges for stability.
Contribution
It introduces a detailed analysis of stable charged shells in a (2+1)-dimensional spacetime within Einstein-Born-Infeld theory, including stability criteria and parameter space exploration.
Findings
Large parameter ranges allow stable configurations.
Stable shells exist around black holes and in vacuum.
Mechanical stability depends on specific parameter values.
Abstract
We study circular shells in a (2+1)-dimensional background within the framework of Einstein-Born-Infeld theory. For shells around black holes we analyze the mechanical stability under perturbations preserving the symmetry. Shells around vacuum are also discussed. We find a large range in the values of the parameters compatible with stable configurations.
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